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Table 2 Results of the evaluation of averages and variances over k-mers of X and Z distributions on human chr 1. Large k-values approach the results Ek(|Z|) = 0.8 and σk(|Z|) = 0.6 expected from standard normal Z distributions

From: Inversion symmetry of DNA k-mer counts: validity and deviations

k

Ek[X]

Ek[|Z|] = Ek[X/σX]

σk[|Z|]

1

.0004

4.56

3.7

2

.0006

3.26

2.4

3

.00075

1.98

1.58

4

.00125

1.34

1.12

5

.002

1.07

.86

6

.004

.93

.75

7

.0085

0.89

.72

8

.018

0.866

.72

9

.038

0.843

.69

10

0.083

0.825

.67